PYQ Vault

Total resistance, current and potential difference in a given circuit

This type of question, asked 4 times: 2022, 2024, 2025, 2026. All 10 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2022

    4 (b)
    Calculate the equivalent resistance of the following electric circuit :
  2. Question 2

    2022

    13 OR
    Study the following circuit and find : (i) Effective resistance of the circuit (ii) Current drawn from the battery (iii) Potential difference across the 5 Ω\Omega resistor
  3. Question 3

    2024

    25
    Use Ohm’s law to determine the potential difference across the 3 Ω3\,\Omega resistor in the circuit shown in the following diagram when key is closed :
  4. Question 4

    2025

    22 (a)
    Use Ohm’s law to determine the potential difference across the 6 Ω6\,\Omega resistor in the following circuit when key is closed :
  5. Question 5

    2025

    32
    Consider the following electric circuit : Calculate the values of the following : (a) The total resistance of the circuit (b) The total current drawn from the source (c) Potential difference across the parallel combination of 10 Ω10\,\Omega and 15 Ω15\,\Omega resistors
  6. Question 6

    2026

    39 (a)
    (i) Consider the following electric circuit : Calculate the values of the following : (I) Total resistance of the circuit. (II) The total electric current drawn from the source. (III) Potential difference across 3 Ω3\,\Omega resistor. (ii) Two bulbs, rated as 100 W ; 220 V and 60 W ; 220 V are connected in parallel to an electric main supply of 220 V. Calculate the electric current drawn from the mains.
  7. Question 7

    2026

    37
    Consider the given electric circuit : Calculate the following : (a) Total resistance of the circuit (b) The electric current drawn from the battery (c) Potential difference between points P and Q
  8. Question 8

    2026

    39 (A)
    (i) Derive an expression for the equivalent resistance of three resistors connected in parallel with a battery as shown in figure. (ii) Find the values of the electric currents flowing through the resistors R1\mathrm{R_1}, R2\mathrm{R_2} and R3\mathrm{R_3} in the given electric circuit.
  9. Question 9

    2026

    39 (A)
    (i) The given electric circuit is a part of an electrical device. Use the information given in the electric circuit diagram to calculate : (I) Potential difference across the ends of resistor R2\mathrm{R_2}. (II) Value of resistor R2\mathrm{R_2}. (III) Value of resistor R1\mathrm{R_1}. (ii) Write the factors on which resistance of a conductor depends and derive the formula for resistance of a given conductor.
  10. Question 10

    2026

    39 (a)
    Study the given electric circuit in which 2 A electric current is flowing between points X and Y. (i) Using the battery, key, voltmeter and ammeter in this given electric circuit, redraw a circuit diagram in which 2 Ω2\,\Omega and 4 Ω4\,\Omega resistors are connected between X and Y in parallel combination. (ii) Circuit drawn by you, in which resistors are connected in parallel combination, calculate the electric current flowing through 4 Ω4\,\Omega resistor.